MATH 418

Spring 2022 All Classes

All Classes

Credit: 3 OR 4 hours.

Rings of quotients of an integral domain. Euclidean domains, principal ideal domains. Unique factorization in polynomial rings. Fields extensions, ruler and compass constructions. Finite fields with applications. Modules. Structure theorem for finitely generated modules over principal ideal domains. Application to finitely generated abelian groups and canonical forms of matrices. Introduction to error-correcting codes.

3 or 4 undergraduate hours. 3 or 4 graduate hours. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 417 or consent of instructor.

MATH 418 class schedule data for spring 2022
CRN Type Section Time Day Location Instructor Section Details
38013
Lecture-Discussion
M13
11:00AM -11:50AM
MWF
143 Henry Administration Bldg
Dunfield, N
Part of Term:
1
Date Range:
01/18/22-05/04/22
Credit:
3 hours
38011
Lecture-Discussion
M14
11:00AM -11:50AM
MWF
143 Henry Administration Bldg
Dunfield, N
Part of Term:
1
Date Range:
01/18/22-05/04/22
Special Approval:
Instructor Approval Required
Credit:
4 hours
Section Info:
Graduate students requesting the 4 credit hour section must first register for the 3 hour section. If the instructor is willing to offer extra work to graduate students for the 4-hour section, students can fill out the request form between the first day of the semester and the 8th week of the semester at this link: https://go.math.illinois.edu/3to4credit
Restriction(s):
Restricted to Graduate - Urbana-Champaign.
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